A man has a bag full of balls
the number of balls inside the bag is unknown
each ball is marked with a different number
the number is represented in binary
he tells me that there are two different special balls inside the bag, ball "a" and ball "b"
I take one ball out of the bag, ball "c" and give it to him
he tells me
that if ball "c" number is equal to ball "a" he gives me a million dollars
but if ball "c" number is equal to ball "b" I have to give him a million dollars
he knows and tells me
that ball "a" binary number starts with two off bits, 00XXXXX..... and
that ball "b" binary number starts with one off bit , 0XXXXXX.....
now he takes a look at ball "c" and tells me that it's binary number starts with one off bit , 0XXXXXX.....
what is the probability of winning and losing?
